Results 31 to 40 of about 311,588 (266)
Frontiers in Neurology, 2019 Background: Bifurcation and sidewall aneurysms have different rupture risks, but whether this difference comes from the location of the aneurysm is not clear.
Qinglin Liu +11 more
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Traveling waves in a parabolic problem with a rotation on the circle [PDF]
Компьютерные исследования и моделирование, 2017 Optical systems with two-dimensional feedback demonstrate wide possibilities for studying the nucleation and development processes of dissipative structures.
Yuliya Aleksandrovna Khazova
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Bifurcation of homoclinics [PDF]
Proceedings of the American Mathematical Society, 2007 We show that homoclinic trajectories of nonautonomous vector fields parametrized by a circle bifurcate from the stationary solution when the asymptotic stable bundles of the linearization at plus and minus infinity are “twisted” in different ways.
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IEEE Transactions on Automatic Control, 2004 The article of record as published may be located at http://dx.doi.org/10.1109/TAC.2004.832199 A parametrized nonlinear differential equation can have multiple equilibria as the parameter is varied. A local bifurcation of a parametrized differential equation occurs at an equilibrium where there is a change in the topological character of the nearby ...
Krener, Arthur J. +2 more
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Backward bifurcation and saddle-node bifurcation in virus-immune dynamics [PDF]
arXiv, 2021 Recently, Wang and Xu [ Appl. Math. Lett. 78 (2018) 105-111] studied thresholds and bi-stability in virus-immune dynamics. In this paper, we show there also exist backward bifurcation and saddle node bifurcation in this model. Our investigation demonstrates the existence of post-bifurcation phenomenon in the system when the immune strength was selected
arxiv
Journal of Differential Equations, 1986 AbstractWe consider a piecewise linear second order ordinary differential equation which is topologically equivalent to the sine-Gordon equation. The system is subjected to a time harmonic disturbance and the behavior of the periodic solutions is examined.
Shui-Nee Chow, Steven W. Shaw
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Dynamic analysis of a modified algae and fish model with aggregation and Allee effect
Mathematical Biosciences and Engineering, 2022 In the paper, under the stress of aggregation and reproduction mechanism of algae, we proposed a modified algae and fish model with aggregation and Allee effect, its main purpose was to further ascertain the dynamic relationship between algae and fish ...
Shengyu Huang +5 more
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Singularity bifurcations [PDF]
Journal of Macroeconomics, 2006 equation models represent an important class of macroeconomic systems. Our ongoing research (He and Barnett (2003)) on the Leeper and Sims (1994) Euler equations macroeconometric model is revealing the existence of singularity-induced bifurcations, when the model¡¯s parameters are within a confidence region about the parameter estimates. Although known
Yijun He, William Barnett
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On first subharmonic bifurcations in a branch of Stokes waves [PDF]
arXiv, 2023 Steady surface waves in a two-dimensional channel are considered. We study bifurcations, which occur on a branch of Stokes water waves starting from a uniform stream solution. Two types of bifurcations are considered: bifurcations in the class of Stokes waves (Stokes bifurcation) and bifurcations in a class of periodic waves with the period M times the
arxiv
On logical bifurcation diagrams [PDF]
Journal of Theoretical Biology, 2019 Bifurcation theory provides a powerful framework to analyze the dynamics of differential systems as a function of specific parameters. Abou-Jaoudé et al. (2009) introduced the concept of logical bifurcation diagrams, an analog of bifurcation diagrams for the logical modeling framework. In this work, we propose a formal definition of this concept. Since
Abou-Jaoudé, Wassim, Monteiro, Pedro T.
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